Least Common Multiple of 7699 and 7706

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7699 and 7706 the smallest integer that is 59328494 that is divisible by both numbers.

Least Common Multiple (LCM) of 7699 and 7706 is 59328494.

LCM(7699,7706) = 59328494

LCM of 7699 and 7706

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 7699 and 7706

LCM of 7699 and 7706 is 59328494

Least common multiple can be found by multiplying the highest exponent prime factors of 7699 and 7706. First we will calculate the prime factors of 7699 and 7706.

Prime Factorization of 7699


7699 7699
1

Prime factors of 7699 are 7699. Prime factorization of 7699 in exponential form is:

7699 = 76991

Prime Factorization of 7706


2 7706
3853 3853
1

Prime factors of 7706 are 2,3853. Prime factorization of 7706 in exponential form is:

7706 = 21×38531

Now multiplying the highest exponent prime factors to calculate the LCM of 7699 and 7706.

LCM(7699,7706) = 21×38531×76991
LCM(7699,7706) = 59328494

Factors of 7699

List of positive integer factors of 7699 that divides 7699 without a remainder.

1, 7699

Factors of 7706

List of positive integer factors of 7706 that divides 7706 without a remainder.

1, 2, 3853, 7706

Least Common Multiple of 7699 and 7706 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7699 and 7706, than apply into the LCM equation.

GCF(7699,7706) = 1
LCM(7699,7706) = ( 7699 × 7706) / 1
LCM(7699,7706) = 59328494 / 1
LCM(7699,7706) = 59328494

Properties of LCM 7699 and 7706

(i) The LCM of 7706 and 7699 is associative

LCM of 7699 and 7706 = LCM of 7706 and 7699

Related Least Common Multiples of 7699

Related Least Common Multiples of 7706

Frequently Asked Questions on LCM of 7699 and 7706

1. What is the LCM of 7699 and 7706?

Answer: LCM of 7699 and 7706 is 59328494.

2. What are the Factors of 7699?

Answer: Factors of 7699 are 1, 7699. There are 2 integers that are factors of 7699. The greatest factor of 7699 is 7699.

3. What are the Factors of 7706?

Answer: Factors of 7706 are 1, 2, 3853, 7706. There are 4 integers that are factors of 7706. The greatest factor of 7706 is 7706.

4. How to Find the LCM of 7699 and 7706?

Answer:

Least Common Multiple of 7699 and 7706 = 59328494

Step 1: Find the prime factorization of 7699

7699 = 7699

Step 2: Find the prime factorization of 7706

7706 = 2 x 3853

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 59328494 = 2 x 3853 x 7699

Step 4: Therefore, the least common multiple of 7699 and 7706 is 59328494.